Results 11 to 20 of about 23,517 (257)

Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations [PDF]

Communications, 2010
In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
doaj   +2 more sources

Identities for families of orthogonal polynomials and special functions [PDF]

Integral Transforms and Special Functions, 1997
In this article we present new results for families of orthogonal polynomials and special functions, that are determined by algorithmical approaches. In the first section, we present new results, especially for discrete families of orthogonal polynomials, obtained by an application of the celebrated Zeilberger algorithm. Nest, we present algorithms for
Wolfram Koepf
exaly   +2 more sources

A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions

Journal of Symbolic Computation, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Segura Javier, Amparo Gil
exaly   +3 more sources

Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials

Integral Transforms and Special Functions, 2020
In this paper some new classes of two-variable orthogonal functions by using Fourier transforms of two-variable orthogonal polynomials are introduced.
Rabia Aktas, Ivan Area
exaly   +3 more sources

On the usage of special functions of two variables for studying of orthogonal polynomials of two variables

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
It is shown that the second order partial differential equations system defined by author is the most general system. It is possible to get all systems, solutions of which are hypergeometric functions of two variables from a Horn list and biorthogonal ...
Zhaksylyk N Tasmambetov
doaj   +3 more sources

Real Harmonic Analysis on the Special Orthogonal Group

International Journal of Analysis and Applications, 2022
This paper presents theoretical analysis and software implementation for real harmonics analysis on the special orthogonal group. Noncommutative harmonic analysis for complex-valued functions on the special orthogonal group has been studied extensively ...
Taeyoung Lee
doaj   +1 more source

Orthogonal Polynomials and Special Functions

Lecture Notes in Mathematics, 2006
exaly   +3 more sources

Special issue OPSFA15: orthogonal polynomials, special functions and applications [PDF]

Integral Transforms and Special Functions, 2021
The special issue OPSFA15 contains the proceedings of the 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications, which was held in Hagenberg, Austria, from 22 J...
Galina Filipuk, Christoph Koutschan, Francisco Marcellán, Walter Van Assche   +3 more
openaire   +1 more source

Orthogonal Polynomials and Special Functions

Lecture Notes in Mathematics, 2003
exaly   +3 more sources

On Determinant Expansions for Hankel Operators

Concrete Operators, 2020
Let w be a semiclassical weight that is generic in Magnus’s sense, and (pn)n=0∞({p_n})_{n = 0}^\infty the corresponding sequence of orthogonal polynomials. We express the Christoffel–Darboux kernel as a sum of products of Hankel integral operators.
Blower Gordon, Chen Yang
doaj   +1 more source